Question

Find the value of tan5°×tan30°×4tan85°.​

Answer 1

Answer:

tan30=1/√3.....(i)

tan5=tan(90-85)=cot85

tan5=cot 85=1/tan85.....(ii)

putting (I) and (II)

in question we get 4/√3

Answer 2

Step-by-step explanation:

tan5 * tan 30 * 4tan85

Since,

tanQ = Cot(90 - Q)

Therefore,

tan5 * tan30 * 4cot5

now tanQ * CotQ = 1

There fore

= 4tan30

= 4/√3